Outage probability of MIMO systems with receive antenna selection in spatially correlated Rayleigh fading channels

We consider a receive antenna selection MIMO system, where only one receive antenna is selected out of N-r antennas. Spatial channel correlation will be considered at the receiver side only. We investigate here the capacity performance of such a system. In particular, we derive a closed-form expression of its outage probability expressed in an infinite series representation. To do so, we derive the joint cumulative distribution function and joint probability density function of the squared row norms of the channel matrix by using the statistical properties of multivariate chi-square random variables. Our simulation results will be shown to validate our analytical findings.